Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27650w |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-270019531250 = -1 · 2 · 512 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 3 -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,870,22747] |
[a1,a2,a3,a4,a6] |
Generators |
[45372:410825:1728] |
Generators of the group modulo torsion |
j |
4665834711/17281250 |
j-invariant |
L |
13.931416764159 |
L(r)(E,1)/r! |
Ω |
0.69631909694634 |
Real period |
R |
5.0018076573134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530c1 |
Quadratic twists by: 5 |